122122302012200 has 144 divisors (see below), whose sum is σ = 330474421971900. Its totient is φ = 41847249024000.

The previous prime is 122122302012149. The next prime is 122122302012203. The reversal of 122122302012200 is 2210203221221.

It can be written as a sum of positive squares in 6 ways, for example, as 2861530859236 + 119260771152964 = 1691606^2 + 10920658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122122302012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14190206 + ... + 21109394.

Almost surely, 2^{122122302012200} is an apocalyptic number.

122122302012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122302012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165237210985950).

122122302012200 is an abundant number, since it is smaller than the sum of its proper divisors (208352119959700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122122302012200 is a wasteful number, since it uses less digits than its factorization.

122122302012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921020 (or 6921004 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122122302012200 its reverse (2210203221221), we get a palindrome (124332505233421).

The spelling of 122122302012200 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred two million, twelve thousand, two hundred".